100464014416 has 20 divisors (see below), whose sum is σ = 197839997524. Its totient is φ = 49408531200.

The previous prime is 100464014401. The next prime is 100464014473. The reversal of 100464014416 is 614410464001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5664067600 + 94799946816 = 75260^2 + 307896^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51466245 + ... + 51468196.

Almost surely, 2^100464014416 is an apocalyptic number.

100464014416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100464014416 is a deficient number, since it is larger than the sum of its proper divisors (97375983108).

100464014416 is a wasteful number, since it uses less digits than its factorization.

100464014416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102934510 (or 102934504 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 100464014416 its reverse (614410464001), we get a palindrome (714874478417).

The spelling of 100464014416 in words is "one hundred billion, four hundred sixty-four million, fourteen thousand, four hundred sixteen".